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1990•International Journal for Numerical Methods in FluidsRequires access

Three‐dimensional eddy current calculation in multiply connected regions by using the magnetic vector potential

Toshiya Morisue

Open publisher page 3 citations

Abstract

Abstract There are two methods of using the magnetic vector potential for three‐dimensional eddy current calculations. The first method uses the continuous magnetic vector potential which accompanies a scalar potential and has the advantage that no cutting is necessary for the multiply connected region problem. The second method uses the discontinuous magnetic vector potential which accompanies no scalar potential and has the disadvantage that cutting is necessary for the multiply connected region problem. In this paper a formulation using the continuous magnetic vector potential and accompanying scalar potential is given, together with computed results for three three‐dimensional multiply connected eddy current problems.

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What this paper is about

Abstract There are two methods of using the magnetic vector potential for three‐dimensional eddy current calculations. The first method uses the continuous magnetic vector potential which accompanies a scalar potential and has the advantage that no cutting is necessary for the multiply connected region problem. The second method uses the discontinuous magnetic vector potential which accompanies no scalar potential and has the disadvantage that cutting is necessary for the multiply connected region problem. In this paper a formulation using the continuous magnetic vector potential and accompanying scalar potential is given, together with computed results for three three‐dimensional multiply connected eddy current problems.

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Available abstract

Abstract There are two methods of using the magnetic vector potential for three‐dimensional eddy current calculations. The first method uses the continuous magnetic vector potential which accompanies a scalar potential and has the advantage that no cutting is necessary for the multiply connected region problem. The second method uses the discontinuous magnetic vector potential which accompanies no scalar potential and has the disadvantage that cutting is necessary for the multiply connected region problem. In this paper a formulation using the continuous magnetic vector potential and accompanying scalar potential is given, together with computed results for three three‐dimensional multiply connected eddy current problems.

Key concepts: Magnetic potential, Vector potential, Scalar (mathematics), Scalar potential, Eddy current, Current (fluid), Physics, Mathematical analysis

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